Heisenberg realization for U_q(sln) on the flag manifold

H. Awata; M. Noumi; S. Odake

doi:10.1007/BF00761420

paper

Heisenberg realization for U_q(sln) on the flag manifold

arXiv:hep-th/9306010 · doi:10.1007/BF00761420

Abstract

We give the Heisenberg realization for the quantum algebra $U_{q} (s l_{n})$ , which is written by the $q$ -difference operator on the flag manifold. We construct it from the action of $U_{q} (s l_{n})$ on the $q$ -symmetric algebra $A_{q} (M a t_{n})$ by the Borel-Weil like approach. Our realization is applicable to the construction of the free field realization for the $U_{q} (s l_{n})$ [AOS].

10 pages, YITP/K-1016, plain TEX (some mistakes corrected and a reference added)